Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698f |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6552000 |
Modular degree for the optimal curve |
Δ |
-1.5981783229611E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 11- -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-385324744,-2917817348288] |
[a1,a2,a3,a4,a6] |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
0.85175976998669 |
L(r)(E,1)/r! |
Ω |
0.017035195399734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094ci1 1518k1 |
Quadratic twists by: -3 -11 |